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Finding the Third Proportional to 29,534 and 43,329

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Solution

The third proportional to 29,534 and 43,329 is: 63,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534 : 43,329 = 43,329 : x
  2. Step 2: Convert to fraction form
    29,534/43,329 = 43,329/x
  3. Step 3: Cross multiply
    29,534x = 43,329 × 43,329
  4. Step 4: Simplify right side
    29,534x = 1,877,402,241
  5. Step 5: Solve for x
    x = 1,877,402,241/29,534
  6. Step 6: Final answer
    x = 63,567.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.